Nowak, Andrzej S. and Szajowski, Krzysztof (1998): Nonzerosum Stochastic Games. Published in: Annals of the International Society of Dynamic Games , Vol. 4, (1999): pp. 297342.

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Abstract
This paper treats of stochastic games. We focus on nonzerosum games and provide a detailed survey of selected recent results. In Section 1, we consider stochastic Markov games. A correlation of strategies of the players, involving ``public signals'', is described, and a correlated equilibrium theorem proved recently by Nowak and Raghavan for discounted stochastic games with general state space is presented. We also report an extension of this result to a class of undiscounted stochastic games, satisfying some uniform ergodicity condition. Stopping games are related to stochastic Markov games. In Section 2, we describe a version of Dynkin's game related to observation of a Markov process with random assignment mechanism of states to the players. Some recent contributions of the second author in this area are reported. The paper also contains a brief overview of the theory of nonzerosum stochastic games and stopping games which is very far from being complete.
Item Type:  MPRA Paper 

Original Title:  Nonzerosum Stochastic Games 
English Title:  Nonzerosum Stochastic Games 
Language:  English 
Keywords:  average payoff stochastic games, correlated stationary equilibria, nonzerosum games, stopping time, stopping games 
Subjects:  C  Mathematical and Quantitative Methods > C6  Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling C  Mathematical and Quantitative Methods > C4  Econometric and Statistical Methods: Special Topics > C44  Operations Research ; Statistical Decision Theory C  Mathematical and Quantitative Methods > C7  Game Theory and Bargaining Theory C  Mathematical and Quantitative Methods > C7  Game Theory and Bargaining Theory > C73  Stochastic and Dynamic Games ; Evolutionary Games ; Repeated Games C  Mathematical and Quantitative Methods > C7  Game Theory and Bargaining Theory > C72  Noncooperative Games 
Item ID:  19995 
Depositing User:  Krzysztof Szajowski 
Date Deposited:  15 Jan 2010 15:27 
Last Modified:  04 Oct 2019 04:07 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/19995 